Geodesic
Monte--Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 82-92.

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In this paper, we examine the algorithm for computing the powers of a Green operator and the first eigenvalue for the Dirichlet boundary value problem using Monte–Carlo method. The efficiency of numerical realization of these algorithms is also discussed.
Keywords: Monte-Carlo method, eigenvalues of the Dirichlet boundary value problem, Green function, Green operator, distributed computing. 
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     title = {Monte--Carlo estimations for powers of {Green} operator and the first eigenvalue for {Dirichlet} boundary value problem},
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A. N. Kuznetsov; I. A. Rytenkova; A. S. Sipin. Monte--Carlo estimations for powers of Green operator and the first eigenvalue for Dirichlet boundary value problem. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 82-92. http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a10/

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